Quadratic Functions

If the blue is f(x)=x^2, the red must be

• g(x)=(x + 3)²

• g(x)=(x - 3)²

• g(x)=x² + 3

• g(x)=x² - 2

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

What are the zeros for the function
f(x) = (x + 7)(x + 5)

• (7 , 0) and (5 , 0)

• (0 , 7) and (0 , 5)

• (-7 , 0) and (-5 , 0)

• (7 , 0) and (5 , 0)

Tags

CCSS.HSF-IF.C.7C

Which of the following is NOT a quadratic function

• f(x) = -3x²

• f(x) = -5x - 3x²

• f(x) = 3x - 4x² + 5

• f(x) = 3x + 5

The standard form of a quadratic equation is

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

What is the green dot on this parabola called?

• vertex

• top of the mountain

• tip of the iceberg

• peak of the parabola

Does this parabola have a maximum or minimum?

• Maximum

• Minimum

Tags

CCSS.HSF-IF.C.7A

How can you tell whether a parabola opens up or opens down by looking at the equation?

• The vertex tells you the direction of the opening

• The value of "a" tells you the direction of the opening. If a > 0, the graph opens up. If a < 0 the graph opens down.

• All parabolas open upward

• All parabolas open downward

Tags

CCSS.HSF-IF.C.7A

Does the equation open up or down? 
Y = -3x² +7x - 2

• up

• down

• Neither; it opens to the right.

• Neither; it opens to the left.

Tags

CCSS.HSF-IF.C.7A

How can you determine the y-intercept of the graph of a quadratic function?

• "c" is the constant and this will be the value of y when x = 0. The y-intercept is the point (0,c)

• Throw a dart at the y-axis and the point where it lands is the y-intercept

• Parabolas don't have a y-intercept

Tags

CCSS.HSF-IF.C.7A